Degree Type

Dissertation

Date of Award

2017

Degree Name

Doctor of Philosophy

Department

Mathematics

Major

Applied Mathematics

First Advisor

Paul Sacks

Second Advisor

Alric P. Rothmayer

Abstract

The flow of an electrically charged fluid through a channel with asymmetric wall distortions and a cross-channel pressure interaction in the presence of a constant, transverse magnetic field is considered. It is shown that the basic nature of the hydrodynamic interaction is retained on a shorter stream-wise length scale, with gradually increasing magnetic field strength. An algebraic relation between the magnetic field strength and the Reynolds number is obtained. A new flow structure is obtained as the magnetic field strength becomes sufficiently large, where the stream-wise length of the cross-channel pressure interaction is proportional to the channel width. Linear and non-linear solutions along with linear free interactions are used to examine the structural properties.

Copyright Owner

Monalisa Munsi

Language

en

File Format

application/pdf

File Size

104 pages

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